On top of that, it wouldn't be like the hospitals would be business as usual if the lockdown didn't occur. Models mostly showed they would have had their hands full with covid cases (and therefore still not handling normal cases and elective stuff). Additionally many people going to hospitals for whatever reason would likely end up exposed to COVID.
From delayed diagnostics, to "elective" surgeries that can't take place, to suicides. It's going to be on the order of the direct deaths at least.
The only real measurable indirect improvement is a lot less people dead in traffic accidents.